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Finding the Fourth Proportional to 1,365.45, 2,048.17 and 714.81

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Solution

The fourth proportional to 1,365.45, 2,048.17 and 714.81 is: 1,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.45 : 2,048.17 = 714.81 : x
  2. Step 2: Convert to fraction form
    1,365.45/2,048.17 = 714.81/x
  3. Step 3: Cross multiply
    1,365.45x = 2,048.17 × 714.81
  4. Step 4: Simplify right side
    1,365.45x = 1,464,052.40
  5. Step 5: Solve for x
    x = 1,464,052.40/1,365.45
  6. Step 6: Final answer
    x = 1,072.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.